Jacobin chords: Difference between revisions

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Jacobin chords are [[essentially tempered dyadic chord]]s tempered by the jacobin comma, 6656/6655.
Jacobin chords are [[essentially tempered dyadic chord]]s tempered by the jacobin comma, [[6656/6655]].


There are seven chords in total involving this comma. The notation assumes each interval is the interval from the chord and not from the tonic. There are 5 triads:
There are seven chords in total involving this comma. The notation assumes each interval is the interval from the chord and not from the tonic. There are 5 triads:

Revision as of 21:51, 7 June 2023

Jacobin chords are essentially tempered dyadic chords tempered by the jacobin comma, 6656/6655.

There are seven chords in total involving this comma. The notation assumes each interval is the interval from the chord and not from the tonic. There are 5 triads:

  • 1/1 - 55/52 - 11/8 - 11/8
  • 1/1 - 64/55 - 13/11 - 16/11
  • 1/1 - 13/10 - 16/11 - 128/121
  • 1/1 - 13/11 - 8/5 - 128/121
  • 1/1 - 5/4 - 11/8 - 121/104

And 2 tetrads which both span two octaves:

  • 20/13 - 11/8 - 11/8 - 11/8 across 4/1
  • 13/11 - 8/5 - 16/11 - 16/11 across 4/1